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In a class of 60 students,40% speak only Hindi(H).25% speak only English(E) and the rest can speak both the languages.How many speak English.

MyApproach

Using VennDiagram,I see $40$% only H and $25$% only E.

Now,$40$% of $60$=$24$ This means $24$ students opted for Hindi out of $60$

and $25$% of 60 students choose English means $15$ students opted for English out of $60$.

15 is the Ans.

But the Ans given is 36.

Can anyone guide me what I am doing wrong.

Jason arora
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  • The students how speak English are exactly the students who are not part of the 40% that speak only Hindi. That is, 60% speak English, which is 36. You've counted the students who speak only English. –  Jan 21 '16 at 04:38
  • The rest is 35% who speak both languages. Add 25% who speak only English and you get a total of 60% who speak (at least) English. Now 60% of 60 is $\color{blue}{36}$ which is the required answer. – Shailesh Jan 21 '16 at 04:39
  • Great:I can solve this problem in now 3 ways. – Jason arora Jan 21 '16 at 04:51

1 Answers1

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You have counted the students who only speak english(15), however, you might have students who speak english as well as hindi, which here is 21. So the total becomes 36.

Dtgoblin
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